Atkin-Lehner |
2+ 3+ 23- 37- |
Signs for the Atkin-Lehner involutions |
Class |
117438i |
Isogeny class |
Conductor |
117438 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
196608 |
Modular degree for the optimal curve |
Δ |
-124125154596 = -1 · 22 · 34 · 234 · 372 |
Discriminant |
Eigenvalues |
2+ 3+ -3 -2 -6 -3 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-804,18756] |
[a1,a2,a3,a4,a6] |
Generators |
[-33:120:1] [-32:130:1] [59:396:1] |
Generators of the group modulo torsion |
j |
-205789993/443556 |
j-invariant |
L |
8.3843651847751 |
L(r)(E,1)/r! |
Ω |
0.92829863475415 |
Real period |
R |
0.3763320727714 |
Regulator |
r |
3 |
Rank of the group of rational points |
S |
0.99999999999351 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
117438c1 |
Quadratic twists by: -23 |